Abstract
A stochastic model of the continuous counting nondemolition measurement of photons emitted by an excited atom in a quantum electromagnetic field is given. It is proved that the posterior dynamics of such an atom is described by a new nonlinear stochastic wave equation showing the relaxation of the atom to its ground state due to the photon emission.
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Belavkin, V.P. A stochastic posterior Schrödinger equation for counting nondemolition measurement. Lett Math Phys 20, 85–89 (1990). https://doi.org/10.1007/BF00398273
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DOI: https://doi.org/10.1007/BF00398273